scholarly journals A Luna étale slice theorem for algebraic stacks

2020 ◽  
Vol 191 (3) ◽  
pp. 675 ◽  
Author(s):  
Alper ◽  
Hall ◽  
Rydh
Keyword(s):  
Algebraic Stacks ◽  
Slice Theorem ◽  
Étale Slice

scholarly journals On complete reducibility in characteristic $p$

2017 ◽  
Vol Volume 1 ◽  
Author(s):  
V. Balaji ◽  
P. Deligne ◽  
A. J. Parameswaran
Keyword(s):  
Structure Theorem ◽  
Reductive Group ◽  
Characteristic P ◽  
Slice Theorem ◽  
Coxeter Number ◽  
Complete Reducibility ◽  
Bounded Below ◽  
Étale Slice

Let $G$ be a reductive group over a field $k$ which is algebraically closed of characteristic $p \neq 0$. We prove a structure theorem for a class of subgroup schemes of $G$, for $p$ bounded below by the Coxeter number of $G$. As applications, we derive semi-simplicity results, generalizing earlier results of Serre proven in 1998, and also obtain an analogue of Luna's \'etale slice theorem for suitable bounds on $p$. Comment: Appendix is by Zhiwei Yun

scholarly journals STEENROD OPERATIONS ON THE DE RHAM COHOMOLOGY OF ALGEBRAIC STACKS

2021 ◽  
pp. 1-48
Author(s):  
Federico Scavia
Keyword(s):  
Finite Groups ◽  
Reductive Groups ◽  
Orthogonal Groups ◽  
De Rham Cohomology ◽  
Algebraic Stacks ◽  
Steenrod Operations ◽  
De Rham

Abstract Building upon work of Epstein, May and Drury, we define and investigate the mod p Steenrod operations on the de Rham cohomology of smooth algebraic stacks over a field of characteristic $p>0$ . We then compute the action of the operations on the de Rham cohomology of classifying stacks for finite groups, connected reductive groups for which p is not a torsion prime and (special) orthogonal groups when $p=2$ .

Algebraic stacks

2001 ◽  
Vol 111 (1) ◽  
pp. 1-31 ◽  
Author(s):  
Tomás L Gómez
Keyword(s):  
Algebraic Stacks

Projection-slice theorem: a compact notation

2011 ◽  
Vol 28 (5) ◽  
pp. 766 ◽  
Author(s):  
Daissy H. Garces ◽  
William T. Rhodes ◽  
Nestor M. Peña
Keyword(s):  
Slice Theorem

Projection-slice theorem based 2D-3D registration

2007 ◽  
Author(s):  
M. J. van der Bom ◽  
J. P. W. Pluim ◽  
R. Homan ◽  
J. Timmer ◽  
L. W. Bartels
Keyword(s):  
3D Registration ◽  
Slice Theorem
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